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LCM of 274, 895, 841, 676, 987

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 274, 895, 841, 676, 987 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 274, 895, 841, 676, 987. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 274,895,841,676,987

Given numbers are 274,895,841,676,987

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 274,895,841,676,987 is 68802377678580.

Find LCM of 274,895,841,676,987 with Prime Factorization


2 274, 895, 841, 676, 987
137, 895, 841, 338, 987

Multiply the prime numbers at the bottom and the left side.

2 x 137 x 895 x 841 x 338 x 987 = 68802377678580

Therefore, the lowest common multiple of 274,895,841,676,987 is 68802377678580.

LCM Formula to Find Lowest Common Multiple of 274,895,841,676,987

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

274 x 895 x 841 x 676 x 987 = 137604755357160

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

274 : 1, 2, 137, 274

895 : 1, 5, 179, 895

841 : 1, 29, 841

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

987 : 1, 3, 7, 21, 47, 141, 329, 987

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 274,895,841,676,987, is 1.

Now, the common factors can be found like this.

274:2x 137

895:5x 179

841:29x 29

676:2x 2x 13x 13

987:3x 7x 47

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2 = 2

Therefore, the value for common factors is 2.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 137604755357160/(1x2)

LCM = 137604755357160/2

LCM = 68802377678580

Thus, we can understand that the LCM of 274,895,841,676,987 is 68802377678580.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 274, 895, 841, 676, 987

1. What is the LCM of 274, 895, 841, 676, 987?

Answer: LCM of 274, 895, 841, 676, 987 is 68802377678580.

2. How to calculate the LCM of 274, 895, 841, 676, 987?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 274, 895, 841, 676, 987.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.